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Finding the Third Proportional to 1,126,286.25 and 2,332,416

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Solution

The third proportional to 1,126,286.25 and 2,332,416 is: 4,830,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126,286.25 : 2,332,416 = 2,332,416 : x
  2. Step 2: Convert to fraction form
    1,126,286.25/2,332,416 = 2,332,416/x
  3. Step 3: Cross multiply
    1,126,286.25x = 2,332,416 × 2,332,416
  4. Step 4: Simplify right side
    1,126,286.25x = 5,440,164,397,056
  5. Step 5: Solve for x
    x = 5,440,164,397,056/1,126,286.25
  6. Step 6: Final answer
    x = 4,830,179.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.